Question

Factorise: x 2 -3x-4

Answer 1

X2-3x-4 => x2-4x+x-4 => x(x-4)+1(x-4) => (x-4)(x+1) => x= 4,-1

Answer 2

Given,

x²-3x-4

To find,

Find, the factors through factorization.

Solution,

We can find the factors of x²-3x-4 with the help of middle term splitting.

Mathematically proceeding, we get-

⇒   x²-4x+x-4.

Now, taking x common in x² and 4x and taking 1 common in x and -4 we get-

⇒   x(x-4)+1(x-4)

⇒   (x+1)(x-4)

Hence, the factors of the equation x²-3x-4 are (x+1)(x-4), which we have found with the help of middle term splitting.